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Finding the Fourth Proportional to 222,768.50, 307,420.53 and 122,166.50

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Solution

The fourth proportional to 222,768.50, 307,420.53 and 122,166.50 is: 168,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,768.50 : 307,420.53 = 122,166.50 : x
  2. Step 2: Convert to fraction form
    222,768.50/307,420.53 = 122,166.50/x
  3. Step 3: Cross multiply
    222,768.50x = 307,420.53 × 122,166.50
  4. Step 4: Simplify right side
    222,768.50x = 37,556,490,178.25
  5. Step 5: Solve for x
    x = 37,556,490,178.25/222,768.50
  6. Step 6: Final answer
    x = 168,589.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.